Purpose

During 2020-2021, many hockey leagues (including NHL feeder leagues) had shortened seasons or no season due to the restrictions on play caused by the COVID-19 pandemic. Some players experiencing restrictions on play in played in other leagues or tournaments during the 2021-2022 season. Others did not play any league/tournament games during the 2020-2021 season. This poses the question of whether not playing games during the 2020-2021 COVID season negatively impacted player development (or caused players to get worse). To answer this question, we will examine data from the Ontario Hockey League, which did not play any games during the 2020-2021 season. Some players from this league chose to play in other leagues or tournaments while others did not.

Data

Prep data

Wrangling:

Filtering:

  • 2019-2020 (“pre-COVID”) and 2021-2022 (“post-COVID”) seasons

  • league == OHL

  • Only players who played in the OHL during both pre- and post-COVID seasons

Variables added:

  • points per game per season (combined if a player played for multiple teams in a season)

  • games played per season (combined if a player played for multiple teams in a season)

  • treatment (i.e. whether a player played more than 10 games during the COVID season)

  • age (approximately the oldest a player was in a given season)

  • player quality approximated by ppg in pre-COVID season

  • whether a player was drafted (not totally up to date)

EDA

EDA with confounders: position, age, player quality, treatment(, GP, season)?

check if explanatory variables are correlated with each other and response.

Position

## [1] 219
## [1] 219

## 
## Call:
## lm(formula = ppg_total ~ position, data = ohl_filtered)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.59399 -0.23754 -0.05861  0.21153  1.22954 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  0.32913    0.02782  11.832  < 2e-16 ***
## positionF    0.26486    0.03491   7.586 2.01e-13 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.3518 on 436 degrees of freedom
## Multiple R-squared:  0.1166, Adjusted R-squared:  0.1146 
## F-statistic: 57.55 on 1 and 436 DF,  p-value: 2.012e-13

#### Player quality

Age

## 
##  16  17  18  19  20  21 
##  37  87 105 114  68  27

Modeling

## 
## Call:
## lm(formula = log(ppg_total) ~ treatment + season + position + 
##     plyr_quality + age, data = filter(ohl_filtered, ppg_total != 
##     0))
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.99539 -0.22503  0.05779  0.23836  1.29327 
## 
## Coefficients:
##                 Estimate Std. Error t value Pr(>|t|)    
## (Intercept)     -1.64116    0.44559  -3.683 0.000261 ***
## treatmentPlayed -0.04555    0.06053  -0.753 0.452164    
## season2021-2022  0.73022    0.06647  10.986  < 2e-16 ***
## positionF        0.20241    0.04949   4.090 5.19e-05 ***
## plyr_quality     2.02727    0.09688  20.925  < 2e-16 ***
## age             -0.02819    0.02569  -1.097 0.273142    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.4443 on 413 degrees of freedom
## Multiple R-squared:  0.6902, Adjusted R-squared:  0.6864 
## F-statistic:   184 on 5 and 413 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = ppg_total ~ treatment * position * season * plyr_quality * 
##     age * drafted, data = ohl_filtered)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.54455 -0.02995  0.00000  0.00000  0.71995 
## 
## Coefficients: (2 not defined because of singularities)
##                                                                          Estimate
## (Intercept)                                                             2.506e-14
## treatmentPlayed                                                        -4.546e-12
## positionF                                                              -8.059e-13
## season2021-2022                                                         2.159e+00
## plyr_quality                                                            1.000e+00
## age                                                                     4.332e-15
## draftedTRUE                                                            -1.151e-10
## treatmentPlayed:positionF                                               1.732e-11
## treatmentPlayed:season2021-2022                                        -1.551e+00
## positionF:season2021-2022                                               3.400e-02
## treatmentPlayed:plyr_quality                                            2.977e-11
## positionF:plyr_quality                                                  7.357e-12
## season2021-2022:plyr_quality                                           -4.543e+00
## treatmentPlayed:age                                                     2.180e-13
## positionF:age                                                           4.440e-14
## season2021-2022:age                                                    -1.009e-01
## plyr_quality:age                                                        3.535e-13
## treatmentPlayed:draftedTRUE                                            -3.032e-10
## positionF:draftedTRUE                                                   1.169e-10
## season2021-2022:draftedTRUE                                             3.133e+01
## plyr_quality:draftedTRUE                                                7.776e-10
## age:draftedTRUE                                                         6.788e-12
## treatmentPlayed:positionF:season2021-2022                               8.137e+00
## treatmentPlayed:positionF:plyr_quality                                 -5.105e-11
## treatmentPlayed:season2021-2022:plyr_quality                           -3.424e+00
## positionF:season2021-2022:plyr_quality                                  2.565e+00
## treatmentPlayed:positionF:age                                          -9.966e-13
## treatmentPlayed:season2021-2022:age                                     7.446e-02
## positionF:season2021-2022:age                                           3.989e-03
## treatmentPlayed:plyr_quality:age                                       -1.632e-12
## positionF:plyr_quality:age                                             -3.969e-13
## season2021-2022:plyr_quality:age                                        2.270e-01
## treatmentPlayed:positionF:draftedTRUE                                   2.906e-10
## treatmentPlayed:season2021-2022:draftedTRUE                             7.396e+01
## positionF:season2021-2022:draftedTRUE                                  -2.620e+01
## treatmentPlayed:plyr_quality:draftedTRUE                                2.187e-11
## positionF:plyr_quality:draftedTRUE                                     -7.807e-10
## season2021-2022:plyr_quality:draftedTRUE                               -2.157e+02
## treatmentPlayed:age:draftedTRUE                                         1.784e-11
## positionF:age:draftedTRUE                                              -6.889e-12
## season2021-2022:age:draftedTRUE                                        -1.656e+00
## plyr_quality:age:draftedTRUE                                           -4.583e-11
## treatmentPlayed:positionF:season2021-2022:plyr_quality                  3.691e+00
## treatmentPlayed:positionF:season2021-2022:age                          -4.154e-01
## treatmentPlayed:positionF:plyr_quality:age                              2.860e-12
## treatmentPlayed:season2021-2022:plyr_quality:age                        1.771e-01
## positionF:season2021-2022:plyr_quality:age                             -1.260e-01
## treatmentPlayed:positionF:season2021-2022:draftedTRUE                  -9.045e+01
## treatmentPlayed:positionF:plyr_quality:draftedTRUE                      9.010e-13
## treatmentPlayed:season2021-2022:plyr_quality:draftedTRUE                1.144e+01
## positionF:season2021-2022:plyr_quality:draftedTRUE                      2.067e+02
## treatmentPlayed:positionF:age:draftedTRUE                              -1.712e-11
## treatmentPlayed:season2021-2022:age:draftedTRUE                        -3.864e+00
## positionF:season2021-2022:age:draftedTRUE                               1.404e+00
## treatmentPlayed:plyr_quality:age:draftedTRUE                           -1.306e-12
## positionF:plyr_quality:age:draftedTRUE                                  4.600e-11
## season2021-2022:plyr_quality:age:draftedTRUE                            1.141e+01
## treatmentPlayed:positionF:season2021-2022:plyr_quality:age             -1.731e-01
## treatmentPlayed:positionF:season2021-2022:plyr_quality:draftedTRUE      1.911e-01
## treatmentPlayed:positionF:season2021-2022:age:draftedTRUE               4.763e+00
## treatmentPlayed:positionF:plyr_quality:age:draftedTRUE                         NA
## treatmentPlayed:season2021-2022:plyr_quality:age:draftedTRUE           -6.749e-01
## positionF:season2021-2022:plyr_quality:age:draftedTRUE                 -1.095e+01
## treatmentPlayed:positionF:season2021-2022:plyr_quality:age:draftedTRUE         NA
##                                                                        Std. Error
## (Intercept)                                                             8.116e-01
## treatmentPlayed                                                         2.074e+00
## positionF                                                               1.066e+00
## season2021-2022                                                         1.216e+00
## plyr_quality                                                            3.233e+00
## age                                                                     4.683e-02
## draftedTRUE                                                             1.946e+01
## treatmentPlayed:positionF                                               5.840e+00
## treatmentPlayed:season2021-2022                                         3.107e+00
## positionF:season2021-2022                                               1.597e+00
## treatmentPlayed:plyr_quality                                            7.196e+00
## positionF:plyr_quality                                                  3.528e+00
## season2021-2022:plyr_quality                                            4.833e+00
## treatmentPlayed:age                                                     1.197e-01
## positionF:age                                                           6.194e-02
## season2021-2022:age                                                     6.623e-02
## plyr_quality:age                                                        1.800e-01
## treatmentPlayed:draftedTRUE                                             4.772e+01
## positionF:draftedTRUE                                                   1.967e+01
## season2021-2022:draftedTRUE                                             2.918e+01
## plyr_quality:draftedTRUE                                                1.307e+02
## age:draftedTRUE                                                         1.146e+00
## treatmentPlayed:positionF:season2021-2022                               8.753e+00
## treatmentPlayed:positionF:plyr_quality                                  1.077e+01
## treatmentPlayed:season2021-2022:plyr_quality                            1.075e+01
## positionF:season2021-2022:plyr_quality                                  5.276e+00
## treatmentPlayed:positionF:age                                           3.406e-01
## treatmentPlayed:season2021-2022:age                                     1.693e-01
## positionF:season2021-2022:age                                           8.760e-02
## treatmentPlayed:plyr_quality:age                                        3.942e-01
## positionF:plyr_quality:age                                              1.973e-01
## season2021-2022:plyr_quality:age                                        2.545e-01
## treatmentPlayed:positionF:draftedTRUE                                   4.752e+01
## treatmentPlayed:season2021-2022:draftedTRUE                             7.157e+01
## positionF:season2021-2022:draftedTRUE                                   2.951e+01
## treatmentPlayed:plyr_quality:draftedTRUE                                1.070e+01
## positionF:plyr_quality:draftedTRUE                                      1.308e+02
## season2021-2022:plyr_quality:draftedTRUE                                1.960e+02
## treatmentPlayed:age:draftedTRUE                                         2.805e+00
## positionF:age:draftedTRUE                                               1.159e+00
## season2021-2022:age:draftedTRUE                                         1.621e+00
## plyr_quality:age:draftedTRUE                                            7.712e+00
## treatmentPlayed:positionF:season2021-2022:plyr_quality                  1.612e+01
## treatmentPlayed:positionF:season2021-2022:age                           4.817e-01
## treatmentPlayed:positionF:plyr_quality:age                              6.081e-01
## treatmentPlayed:season2021-2022:plyr_quality:age                        5.575e-01
## positionF:season2021-2022:plyr_quality:age                              2.791e-01
## treatmentPlayed:positionF:season2021-2022:draftedTRUE                   7.126e+01
## treatmentPlayed:positionF:plyr_quality:draftedTRUE                      2.061e+00
## treatmentPlayed:season2021-2022:plyr_quality:draftedTRUE                1.601e+01
## positionF:season2021-2022:plyr_quality:draftedTRUE                      1.961e+02
## treatmentPlayed:positionF:age:draftedTRUE                               2.793e+00
## treatmentPlayed:season2021-2022:age:draftedTRUE                         3.967e+00
## positionF:season2021-2022:age:draftedTRUE                               1.639e+00
## treatmentPlayed:plyr_quality:age:draftedTRUE                            6.183e-01
## positionF:plyr_quality:age:draftedTRUE                                  7.719e+00
## season2021-2022:plyr_quality:age:draftedTRUE                            1.091e+01
## treatmentPlayed:positionF:season2021-2022:plyr_quality:age              8.600e-01
## treatmentPlayed:positionF:season2021-2022:plyr_quality:draftedTRUE      2.914e+00
## treatmentPlayed:positionF:season2021-2022:age:draftedTRUE               3.950e+00
## treatmentPlayed:positionF:plyr_quality:age:draftedTRUE                         NA
## treatmentPlayed:season2021-2022:plyr_quality:age:draftedTRUE            8.744e-01
## positionF:season2021-2022:plyr_quality:age:draftedTRUE                  1.092e+01
## treatmentPlayed:positionF:season2021-2022:plyr_quality:age:draftedTRUE         NA
##                                                                        t value
## (Intercept)                                                              0.000
## treatmentPlayed                                                          0.000
## positionF                                                                0.000
## season2021-2022                                                          1.776
## plyr_quality                                                             0.309
## age                                                                      0.000
## draftedTRUE                                                              0.000
## treatmentPlayed:positionF                                                0.000
## treatmentPlayed:season2021-2022                                         -0.499
## positionF:season2021-2022                                                0.021
## treatmentPlayed:plyr_quality                                             0.000
## positionF:plyr_quality                                                   0.000
## season2021-2022:plyr_quality                                            -0.940
## treatmentPlayed:age                                                      0.000
## positionF:age                                                            0.000
## season2021-2022:age                                                     -1.524
## plyr_quality:age                                                         0.000
## treatmentPlayed:draftedTRUE                                              0.000
## positionF:draftedTRUE                                                    0.000
## season2021-2022:draftedTRUE                                              1.074
## plyr_quality:draftedTRUE                                                 0.000
## age:draftedTRUE                                                          0.000
## treatmentPlayed:positionF:season2021-2022                                0.930
## treatmentPlayed:positionF:plyr_quality                                   0.000
## treatmentPlayed:season2021-2022:plyr_quality                            -0.319
## positionF:season2021-2022:plyr_quality                                   0.486
## treatmentPlayed:positionF:age                                            0.000
## treatmentPlayed:season2021-2022:age                                      0.440
## positionF:season2021-2022:age                                            0.046
## treatmentPlayed:plyr_quality:age                                         0.000
## positionF:plyr_quality:age                                               0.000
## season2021-2022:plyr_quality:age                                         0.892
## treatmentPlayed:positionF:draftedTRUE                                    0.000
## treatmentPlayed:season2021-2022:draftedTRUE                              1.033
## positionF:season2021-2022:draftedTRUE                                   -0.888
## treatmentPlayed:plyr_quality:draftedTRUE                                 0.000
## positionF:plyr_quality:draftedTRUE                                       0.000
## season2021-2022:plyr_quality:draftedTRUE                                -1.101
## treatmentPlayed:age:draftedTRUE                                          0.000
## positionF:age:draftedTRUE                                                0.000
## season2021-2022:age:draftedTRUE                                         -1.021
## plyr_quality:age:draftedTRUE                                             0.000
## treatmentPlayed:positionF:season2021-2022:plyr_quality                   0.229
## treatmentPlayed:positionF:season2021-2022:age                           -0.862
## treatmentPlayed:positionF:plyr_quality:age                               0.000
## treatmentPlayed:season2021-2022:plyr_quality:age                         0.318
## positionF:season2021-2022:plyr_quality:age                              -0.452
## treatmentPlayed:positionF:season2021-2022:draftedTRUE                   -1.269
## treatmentPlayed:positionF:plyr_quality:draftedTRUE                       0.000
## treatmentPlayed:season2021-2022:plyr_quality:draftedTRUE                 0.714
## positionF:season2021-2022:plyr_quality:draftedTRUE                       1.054
## treatmentPlayed:positionF:age:draftedTRUE                                0.000
## treatmentPlayed:season2021-2022:age:draftedTRUE                         -0.974
## positionF:season2021-2022:age:draftedTRUE                                0.856
## treatmentPlayed:plyr_quality:age:draftedTRUE                             0.000
## positionF:plyr_quality:age:draftedTRUE                                   0.000
## season2021-2022:plyr_quality:age:draftedTRUE                             1.046
## treatmentPlayed:positionF:season2021-2022:plyr_quality:age              -0.201
## treatmentPlayed:positionF:season2021-2022:plyr_quality:draftedTRUE       0.066
## treatmentPlayed:positionF:season2021-2022:age:draftedTRUE                1.206
## treatmentPlayed:positionF:plyr_quality:age:draftedTRUE                      NA
## treatmentPlayed:season2021-2022:plyr_quality:age:draftedTRUE            -0.772
## positionF:season2021-2022:plyr_quality:age:draftedTRUE                  -1.003
## treatmentPlayed:positionF:season2021-2022:plyr_quality:age:draftedTRUE      NA
##                                                                        Pr(>|t|)
## (Intercept)                                                              1.0000
## treatmentPlayed                                                          1.0000
## positionF                                                                1.0000
## season2021-2022                                                          0.0766
## plyr_quality                                                             0.7572
## age                                                                      1.0000
## draftedTRUE                                                              1.0000
## treatmentPlayed:positionF                                                1.0000
## treatmentPlayed:season2021-2022                                          0.6179
## positionF:season2021-2022                                                0.9830
## treatmentPlayed:plyr_quality                                             1.0000
## positionF:plyr_quality                                                   1.0000
## season2021-2022:plyr_quality                                             0.3478
## treatmentPlayed:age                                                      1.0000
## positionF:age                                                            1.0000
## season2021-2022:age                                                      0.1284
## plyr_quality:age                                                         1.0000
## treatmentPlayed:draftedTRUE                                              1.0000
## positionF:draftedTRUE                                                    1.0000
## season2021-2022:draftedTRUE                                              0.2837
## plyr_quality:draftedTRUE                                                 1.0000
## age:draftedTRUE                                                          1.0000
## treatmentPlayed:positionF:season2021-2022                                0.3532
## treatmentPlayed:positionF:plyr_quality                                   1.0000
## treatmentPlayed:season2021-2022:plyr_quality                             0.7502
## positionF:season2021-2022:plyr_quality                                   0.6271
## treatmentPlayed:positionF:age                                            1.0000
## treatmentPlayed:season2021-2022:age                                      0.6603
## positionF:season2021-2022:age                                            0.9637
## treatmentPlayed:plyr_quality:age                                         1.0000
## positionF:plyr_quality:age                                               1.0000
## season2021-2022:plyr_quality:age                                         0.3730
## treatmentPlayed:positionF:draftedTRUE                                    1.0000
## treatmentPlayed:season2021-2022:draftedTRUE                              0.3021
## positionF:season2021-2022:draftedTRUE                                    0.3752
## treatmentPlayed:plyr_quality:draftedTRUE                                 1.0000
## positionF:plyr_quality:draftedTRUE                                       1.0000
## season2021-2022:plyr_quality:draftedTRUE                                 0.2718
## treatmentPlayed:age:draftedTRUE                                          1.0000
## positionF:age:draftedTRUE                                                1.0000
## season2021-2022:age:draftedTRUE                                          0.3078
## plyr_quality:age:draftedTRUE                                             1.0000
## treatmentPlayed:positionF:season2021-2022:plyr_quality                   0.8190
## treatmentPlayed:positionF:season2021-2022:age                            0.3890
## treatmentPlayed:positionF:plyr_quality:age                               1.0000
## treatmentPlayed:season2021-2022:plyr_quality:age                         0.7510
## positionF:season2021-2022:plyr_quality:age                               0.6518
## treatmentPlayed:positionF:season2021-2022:draftedTRUE                    0.2052
## treatmentPlayed:positionF:plyr_quality:draftedTRUE                       1.0000
## treatmentPlayed:season2021-2022:plyr_quality:draftedTRUE                 0.4755
## positionF:season2021-2022:plyr_quality:draftedTRUE                       0.2927
## treatmentPlayed:positionF:age:draftedTRUE                                1.0000
## treatmentPlayed:season2021-2022:age:draftedTRUE                          0.3307
## positionF:season2021-2022:age:draftedTRUE                                0.3924
## treatmentPlayed:plyr_quality:age:draftedTRUE                             1.0000
## positionF:plyr_quality:age:draftedTRUE                                   1.0000
## season2021-2022:plyr_quality:age:draftedTRUE                             0.2961
## treatmentPlayed:positionF:season2021-2022:plyr_quality:age               0.8406
## treatmentPlayed:positionF:season2021-2022:plyr_quality:draftedTRUE       0.9478
## treatmentPlayed:positionF:season2021-2022:age:draftedTRUE                0.2287
## treatmentPlayed:positionF:plyr_quality:age:draftedTRUE                       NA
## treatmentPlayed:season2021-2022:plyr_quality:age:draftedTRUE             0.4407
## positionF:season2021-2022:plyr_quality:age:draftedTRUE                   0.3164
## treatmentPlayed:positionF:season2021-2022:plyr_quality:age:draftedTRUE       NA
##                                                                         
## (Intercept)                                                             
## treatmentPlayed                                                         
## positionF                                                               
## season2021-2022                                                        .
## plyr_quality                                                            
## age                                                                     
## draftedTRUE                                                             
## treatmentPlayed:positionF                                               
## treatmentPlayed:season2021-2022                                         
## positionF:season2021-2022                                               
## treatmentPlayed:plyr_quality                                            
## positionF:plyr_quality                                                  
## season2021-2022:plyr_quality                                            
## treatmentPlayed:age                                                     
## positionF:age                                                           
## season2021-2022:age                                                     
## plyr_quality:age                                                        
## treatmentPlayed:draftedTRUE                                             
## positionF:draftedTRUE                                                   
## season2021-2022:draftedTRUE                                             
## plyr_quality:draftedTRUE                                                
## age:draftedTRUE                                                         
## treatmentPlayed:positionF:season2021-2022                               
## treatmentPlayed:positionF:plyr_quality                                  
## treatmentPlayed:season2021-2022:plyr_quality                            
## positionF:season2021-2022:plyr_quality                                  
## treatmentPlayed:positionF:age                                           
## treatmentPlayed:season2021-2022:age                                     
## positionF:season2021-2022:age                                           
## treatmentPlayed:plyr_quality:age                                        
## positionF:plyr_quality:age                                              
## season2021-2022:plyr_quality:age                                        
## treatmentPlayed:positionF:draftedTRUE                                   
## treatmentPlayed:season2021-2022:draftedTRUE                             
## positionF:season2021-2022:draftedTRUE                                   
## treatmentPlayed:plyr_quality:draftedTRUE                                
## positionF:plyr_quality:draftedTRUE                                      
## season2021-2022:plyr_quality:draftedTRUE                                
## treatmentPlayed:age:draftedTRUE                                         
## positionF:age:draftedTRUE                                               
## season2021-2022:age:draftedTRUE                                         
## plyr_quality:age:draftedTRUE                                            
## treatmentPlayed:positionF:season2021-2022:plyr_quality                  
## treatmentPlayed:positionF:season2021-2022:age                           
## treatmentPlayed:positionF:plyr_quality:age                              
## treatmentPlayed:season2021-2022:plyr_quality:age                        
## positionF:season2021-2022:plyr_quality:age                              
## treatmentPlayed:positionF:season2021-2022:draftedTRUE                   
## treatmentPlayed:positionF:plyr_quality:draftedTRUE                      
## treatmentPlayed:season2021-2022:plyr_quality:draftedTRUE                
## positionF:season2021-2022:plyr_quality:draftedTRUE                      
## treatmentPlayed:positionF:age:draftedTRUE                               
## treatmentPlayed:season2021-2022:age:draftedTRUE                         
## positionF:season2021-2022:age:draftedTRUE                               
## treatmentPlayed:plyr_quality:age:draftedTRUE                            
## positionF:plyr_quality:age:draftedTRUE                                  
## season2021-2022:plyr_quality:age:draftedTRUE                            
## treatmentPlayed:positionF:season2021-2022:plyr_quality:age              
## treatmentPlayed:positionF:season2021-2022:plyr_quality:draftedTRUE      
## treatmentPlayed:positionF:season2021-2022:age:draftedTRUE               
## treatmentPlayed:positionF:plyr_quality:age:draftedTRUE                  
## treatmentPlayed:season2021-2022:plyr_quality:age:draftedTRUE            
## positionF:season2021-2022:plyr_quality:age:draftedTRUE                  
## treatmentPlayed:positionF:season2021-2022:plyr_quality:age:draftedTRUE  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1901 on 376 degrees of freedom
## Multiple R-squared:  0.7775, Adjusted R-squared:  0.7414 
## F-statistic: 21.54 on 61 and 376 DF,  p-value: < 2.2e-16
## Warning: not plotting observations with leverage one:
##   15, 16

…

---
title: "Does Not Playing Hockey Make You Worse at Hockey? Project Progress 7-19-22"
author: "Jackie Jovanovic, Michele Sezgin"
date: "`r Sys.Date()`"
output: openintro::lab_report
---

```{r, include = FALSE}
knitr::opts_chunk$set(echo = FALSE, message = FALSE, warning = FALSE)
```


```{r load-packages, message=FALSE}
library(tidyverse)
library(lubridate)
```

### Purpose

During 2020-2021, many hockey leagues (including NHL feeder leagues) had shortened seasons or no season due to the restrictions on play caused by the COVID-19 pandemic. Some players experiencing restrictions on play in played in other leagues or tournaments during the 2021-2022 season. Others did not play any league/tournament games during the 2020-2021 season. This poses the question of whether not playing games during the 2020-2021 COVID season negatively impacted player development (or caused players to get worse). To answer this question, we will examine data from the Ontario Hockey League, which did not play any games during the 2020-2021 season. Some players from this league chose to play in other leagues or tournaments while others did not.

### Data

```{r data}
ohl <- read_csv("../sams_ohl_data_request.csv")
ohl_covid <- ohl %>%
  filter(season %in% c("2019-2020","2020-2021", "2021-2022"))
```

### Prep data

```{r}
## Add treatment var:

# Filtering only for players who played more than 10 games (should we combine number of games played across leagues?)
ohl_20_21 <- ohl %>%
  filter(season == "2020-2021", gp > 10)

# Split players up into treatment vs non-treatment
ohl_treatment <- ohl %>%
  filter(season %in% c("2019-2020", "2021-2022"), league == "OHL") %>%
  group_by(player_id, season) %>%
  mutate(ppg = sum(pts)/sum(gp),
         treatment = ifelse(player_id %in% ohl_20_21$player_id, "Played", "Didn't play")
  ) %>%
  ungroup()

plyr_quality <- ohl %>%
  filter(season == "2019-2020", league == "OHL") %>%
  group_by(player_id) %>%
  mutate(plyr_quality = sum(pts)/sum(gp)) %>%
  filter(duplicated(player_id) == FALSE) %>%
  ungroup() %>%
  select(player_id, plyr_quality)

# View(plyr_quality %>%
#   filter(duplicated(plyr_quality$player_id) == TRUE))
# ## need to deal with duplicate players/rows
# View(ohl_filtered %>%
#   filter(duplicated(ohl_filtered$player_id) == TRUE))


# We need to check that each player played in the OHL in 2019-2020 and 2021-2022
ohl_szn <- ohl %>%
  filter(season %in% c("2019-2020", "2021-2022"), league == "OHL") %>%
  group_by(player_id) %>%
  mutate(played_2019 = season == "2019-2020",
         played_2021 = season == "2021-2022",
         played_both_szn = sum(played_2019) & sum(played_2021)) %>%
  ungroup() %>%
  filter(played_both_szn == TRUE) 

# add treatment variable through join
ohl_trt <- ohl_szn %>%
  left_join(select(ohl_treatment, player_id, season, team_name, treatment), by = c("player_id", "team_name", "season")) %>%
  mutate(ppg = pts/gp) 

# add age variable
ohl_age <- ohl_trt %>%
  group_by(player_id, season) %>%
  mutate(year = strsplit(season, "-")[[1]][2]) %>%
  mutate(age = trunc((dob %--% as.Date(paste0(year, "-05-01"))) / years(1))) %>%
  ungroup() #%>%
  #filter(age %in% 16:22)
    
# add player quality
ohl_qlty <- ohl_age %>%
  left_join(plyr_quality, by = "player_id") %>%
  group_by(player_id, season) %>%
  mutate(ppg_total = sum(pts)/sum(gp),
         gp_total = sum(gp),
         pts_total = sum(pts)) %>%
  arrange(player_id, season, -plyr_quality) %>%
  filter(duplicated(player_id) == FALSE) %>%
  ungroup()#%>%
  # filter(ppg != 0) %>%
  # mutate(log_ppg = log(ppg))

# were they drafted
ohl_filtered <- ohl_qlty %>%
  mutate(drafted = !is.na(draft_year)) %>%
  select(season, player_id, treatment, first_name, last_name, position, plyr_quality, age, gp_total, pts_total, ppg_total, drafted, draft_year, round, overall_pick_num, shoots)

## Trying to combine players who played for two teams into one

# combined <- ohl_filtered %>%
  

ohl_treatment_21_22 <- ohl_filtered %>%
  filter(season == "2021-2022")
```

Wrangling:

Filtering:

- 2019-2020 ("pre-COVID") and 2021-2022 ("post-COVID") seasons

- league == OHL

- Only players who played in the OHL during both pre- and post-COVID seasons

Variables added:

- points per game per season (combined if a player played for multiple teams in a season)

- games played per season (combined if a player played for multiple teams in a season)

- treatment (i.e. whether a player played more than 10 games during the COVID season)

- age (approximately the oldest a player was in a given season)

- player quality approximated by ppg in pre-COVID season

- whether a player was drafted (not totally up to date)

### EDA

#### EDA with confounders: position, age, player quality, treatment(, GP, season)?

check if explanatory variables are correlated with each other and response. 

```{r}
library(GGally)

ohl_filtered %>%
  select(season, position, age, ppg_total, plyr_quality, gp_total, treatment) %>%
  ggpairs()
```

```{r}
# is gp correlated with ppg?
ggplot(ohl_filtered, aes(x = gp_total, y = ppg_total)) +
  geom_point() +
  labs(title = "Relationship between PPG and GP", x = "Total GP", y = "Total PPG")#+
  #geom_smooth()

ggplot(ohl_filtered, aes(x = gp_total, y = log(ppg_total))) +
  geom_point() +
  labs(title = "Log relationship between PPG and GP", x = "Total GP", y = "Total PPG")#+
  #geom_smooth()
```

#### **Position**

```{r}
# density curve of ppg faceted by position
ggplot(ohl_filtered) +
  geom_density(aes(x = ppg_total)) +
  facet_grid(rows = vars(position)) +
  labs(title = "PPG generally greater for forwards in 2019-20 and 2021-22 season")
```

```{r}
# density curve of ppg faceted by position
ggplot(ohl_filtered) +
  geom_density(aes(x = ppg_total, color = season)) +
  facet_grid(rows = vars(position)) +
  labs(title = "PPG generally higher in 2021-2022 season, regardless of position",
       x = "PPG")
```

```{r}
# maybe due to a difference in amount of data per season?
nrow(filter(ohl_filtered, season == "2019-2020"))
nrow(filter(ohl_filtered, season == "2021-2022"))
```

```{r}
ggplot(ohl_treatment_21_22) +
  geom_density(aes(x = ppg_total, color = treatment)) +
  facet_grid(rows = vars(position)) +
  labs(title = "PPG generally higher for those who played during COVID season in 2021-22 season")
```

```{r}
ggplot(ohl_treatment_21_22, aes(x = as.factor(position), y = ppg_total)) +
  geom_point(alpha = .2) +
  stat_summary(geom = "line", fun = mean, group = 1) 
```

```{r}
# violates constant variance... much more variance among forwards than Ds
lm_pos <- lm(ppg_total ~ position, data = ohl_filtered)
summary(lm_pos)
plot(lm_pos)
```
#### **Player quality**

```{r}
ggplot(ohl_filtered, aes(x = ))
```


#### **Age**

```{r}
ggplot(ohl_filtered, aes(x = ppg_total)) +
  geom_density() +
  facet_grid(rows = vars(age))
```

```{r}
ggplot(ohl_filtered, aes(x = age, y = plyr_quality)) +
  geom_point(alpha = .5) 

library(ggridges)
ggplot(ohl_filtered, aes(x = plyr_quality)) +
  geom_density_ridges(aes(y = as.factor(age))) +
  facet_grid(rows = vars(age)) +
  labs(title = "Player quality generally increases with age")
```

```{r}
plot(lm(plyr_quality ~ age, data = ohl_filtered))
```


```{r}
mosaicplot(table("Age" = ohl_filtered$age,
                 "Position" = ohl_filtered$position),
           main = "Position independent of age",
           shade = TRUE)
```
```{r}
# age vs treatment
mosaicplot(table("Age" = ohl_filtered$age,
                 "Treatment" = ohl_filtered$treatment),
           main = "Playing during COVID season independent of age",
           shade = TRUE)
```

```{r}
# age vs gp
ggplot(ohl_filtered, aes(x = age, y = gp_total)) +
  geom_point(alpha = .5)
ggplot(ohl_filtered, aes(x = gp_total)) +
  geom_density() +
  facet_grid(rows = vars(age))
table(ohl_filtered$age)
```


### Modeling

```{r, warning = TRUE}
# vanilla MLR
mlr <- lm(ppg_total ~ treatment + season + position + plyr_quality + age, data = ohl_filtered)
mlr_summary <- summary(mlr)
plot(mlr)

# ppg on log scale
log_mlr <- lm(log(ppg_total) ~ treatment + season + position + plyr_quality + age, data = filter(ohl_filtered, ppg_total != 0))
summary(log_mlr)
plot(log_mlr)

mlr_int <- lm(ppg_total ~ treatment*position*season*plyr_quality*age*drafted, data = ohl_filtered)
summary(mlr_int)
plot(mlr_int)
```

```{r}
ohl_mod <- ohl_filtered %>%
  mutate(resids = mlr_summary$resid > .3)
```

```{r}
mosaicplot(table("Position" = ohl_mod$position,
                 "Resids" = ohl_mod$resids),
           main = "",
           shade = TRUE)
mosaicplot(table("Shoots" = ohl_mod$shoots,
                 "Resids" = ohl_mod$resids),
           main = "",
           shade = TRUE)
mosaicplot(table("Drafted" = ohl_mod$drafted,
                 "Resids" = ohl_mod$resids),
           main = "",
           shade = TRUE)
```




...

